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Finding the Fourth Proportional to 3,030.57, 4,545.85 and 950.76

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Solution

The fourth proportional to 3,030.57, 4,545.85 and 950.76 is: 1,426.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030.57 : 4,545.85 = 950.76 : x
  2. Step 2: Convert to fraction form
    3,030.57/4,545.85 = 950.76/x
  3. Step 3: Cross multiply
    3,030.57x = 4,545.85 × 950.76
  4. Step 4: Simplify right side
    3,030.57x = 4,321,996.49
  5. Step 5: Solve for x
    x = 4,321,996.49/3,030.57
  6. Step 6: Final answer
    x = 1,426.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.